Finite Group DatabasebetaFinite Group DatabasebetaOrder 9664.
144 conjugacy classes of subgroups; only the 43 normal subgroups are shown.
This group has 144 conjugacy classes of subgroups — too many to draw. Only its 43 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 1. C2×#14558993 | C2 | semidirect |
| 2. C2×#14558992 | C2 | semidirect |
| 3. C2×#14558989 | C2 | semidirect |
| 4. #18012735 | C2 | semidirect |
| 5. #18012726 | C2 | semidirect |
| 6. #18012649 | C2 | semidirect |
| 7. C2×D8×C151 | C2 | semidirect |
| 29. C151⋊C8 | D4 | semidirect |
| 37. C8×C151 | D4 | semidirect |
| 54. C151 | #496 | semidirect |
| 59. C2×D8 | D151 | semidirect |
| 92. C8 | C22⋊D151 | semidirect |